The Reds conceded from another corner on Sunday after Marouane Fellaini managed to get a header on target before Wayne Rooney followed up the rebound.
Arsenal beat Liverpool goalkeeper Simon Mignolet twice from set-pieces during their thrilling 3-3 draw at Anfield on Wednesday night.
Speaking to BBC Radio Five Live, former Arsenal striker Wright explained how Jurgen Klopp’s Liverpool side can improve their defending of set-pieces.
“You can only say that they can’t be meticulously working on it,” Wright said.
“I’ve spoken about it loads of times because of Arsenal and what we had to do from the front. If you’re not doing it on a regular basis, it doesn’t just happen.
“You’ve got to be working on situations where things happen and you can counteract what happens.
“It’s how you make yourself hard to break down.”
United captain Rooney scored a 78th-minute winner at Anfield on Sunday afternoon after David De Gea made four saves during the north-west derby.
Liverpool are in ninth place and eight points behind fourth-placed Tottenham Hotspur in the race to secure a place in next season’s Champions League.
The Reds, who are in the League Cup semi-final, have conceded 28 goals in 22 Premier League games so far this season.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news